Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792w |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-94838844307477248 = -1 · 28 · 33 · 1110 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11- 2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,97607,-9075251] |
[a1,a2,a3,a4,a6] |
Generators |
[47880:475249:512] |
Generators of the group modulo torsion |
j |
15488000/14283 |
j-invariant |
L |
6.2571839816776 |
L(r)(E,1)/r! |
Ω |
0.18508299487544 |
Real period |
R |
8.4518623462191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66792g1 |
Quadratic twists by: -11 |